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How many numbers can be formed with digi...

How many numbers can be formed with digits 3,4,6,and 8 without repetition ?

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To solve the problem of how many numbers can be formed with the digits 3, 4, 6, and 8 without repetition, we will consider different cases based on the number of digits in the numbers formed. ### Step 1: Count the 1-digit numbers For 1-digit numbers, we can use any of the four digits (3, 4, 6, 8). - **Calculation**: - Total 1-digit numbers = 4 (3, 4, 6, 8) ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. There are 35 students in a class in wjhich there are 22 boys and 13 gi...

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  2. How many different numbers lesser than 10000 can be formed from the d...

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  3. How many numbers can be formed with digits 3,4,6,and 8 without repetit...

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  4. Evaluate the following: (i) 6! -5! (ii) (30!)/(28!) (iii) (15!)/(...

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  5. Evaluate : (1)/(3!)+(1)/(4!)+(1)/(5!)

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  6. Convert into factorials 3.6.9.12.15.18.21

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  7. Convert into factorials : 2.4.6.8.10.12……..50

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  8. Evaluate : (n!)/((n-r)!) where n=5,r=2

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  9. Evaluate (n!)/(r!(n-r)!), where n=15,r=4

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  10. Evaluate ""^(20)P(3)

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  11. Evaluate ""^(5)P(3)xx""^(7)P(3)

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  12. Find n, if ""^(n)P(5)=42 ""^(n)P(3), n ge 5

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  13. Show that ""^(n)P(n)=2""^(n)P(n-2)

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  14. In how many ways, the letter of word NUMBER can be arranged ?

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  15. In how many ways, the letters of word FRACTION can be arranged ?

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  16. How many numbers lying between 100 and 1000 can be formed with the dig...

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  17. How many four digit numbers are there in all?

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  18. How many permulations of the letters of the word KARNAL are there ?

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  19. How many words can be formed using the letters E twice , the letter C ...

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  20. Find the number of words formed by permuting all letters of the word I...

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